Titlebook: Collective Dynamics from Bacteria to Crowds; An Excursion Through Adrian Muntean,Federico Toschi Book 2014 CISM Udine 2014 Balance of Measu

palliate

闪光东本

Stochastic competition between two populations in space,sities of the two species can be derived within the formalism of the chemical master equations. We also compare the case in which the total density of individuals is kept fixed by constraint with a case in which it can fluctuate.

荒唐

Multiscale Crowd Dynamics Modeling and Theory,d mathematical tools as well as to couple these two descriptions in a multiscale perspective. Furthermore, we present a basic theory of well-posedness and numerical approximation of initial-value problems and we discuss its implications on mathematical modeling.

cyanosis

松果

The derivation of swarming models: Mean-field limit and Wasserstein distances,er models for swarming, also called the aggregation equation. We give qualitative bounds on the approximation of initial data by particles to obtain the mean-field limit for radial singular (at the origin) potentials up to the Newtonian singularity. We also show the propagation of chaos for more restricted set of singular potentials.

Adj异类的

Osteons

The derivation of swarming models: Mean-field limit and Wasserstein distances,t make a summary of the kinetic models derived as continuum versions of second order models for swarming. We focus on the question of passing from the discrete to the continuum model in the Dobrushin framework. We show how to use related techniques from fluid mechanics equations applied to first ord

CRACY

Non smooth evolution models in crowd dynamics: mathematical and numerical issues,separately), these problems fit in the framework of non smooth analysis in Hilbert spaces, and the tools developed in the 70’s to handle the so-called . process are directly adaptable. At the macroscopic scale (the population is represented by a density), a similar approach can be carried out. This

阴险

Pedestrians moving in the dark: Balancing measures and playing games on lattices,mics and.(ii) a probabilistic cellular automaton model..In both models the group formation is affected by a threshold. The pedestrians are supposed to have very limited knowledge about their current position and their neighborhood; they can form groups up to a certain size and they can leave them. T

BLOT

Stochastic competition between two populations in space,eproduce, and die as effect of competitions; all these processes are implemented stochastically. We focus on how the macroscopic equations for the densities of the two species can be derived within the formalism of the chemical master equations. We also compare the case in which the total density of